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Finding the Fourth Proportional to 378,003.04, 521,625 and 208,233.52

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Solution

The fourth proportional to 378,003.04, 521,625 and 208,233.52 is: 287,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,003.04 : 521,625 = 208,233.52 : x
  2. Step 2: Convert to fraction form
    378,003.04/521,625 = 208,233.52/x
  3. Step 3: Cross multiply
    378,003.04x = 521,625 × 208,233.52
  4. Step 4: Simplify right side
    378,003.04x = 108,619,809,870
  5. Step 5: Solve for x
    x = 108,619,809,870/378,003.04
  6. Step 6: Final answer
    x = 287,351.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.